AQo
60.95%
Wins 60.72%, ties 0.45%
J9s
39.05%
Wins 38.83%, ties 0.45%
AQo against J9s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| AQo | 60.720 | 0.451 | 38.829 | 60.946 |
| J9s | 38.829 | 0.451 | 60.720 | 39.054 |
We compare an offsuit hand with a suited hand. With no overlap in ranks, every card that pairs one hand is a card that does not pair the other.
AQo is ahead, but J9s is far from dead: it takes 388 of every 1,000 deals outright. About 0.45% of boards chop the pot, which is why equity sits slightly above the win figure for both hands.
In the ranking of all 169 starting hands, AQo is number 14 and J9s is number 55.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| AQo | 49,906,000 | 371,000 | 31,914,000 |
| J9s | 31,914,000 | 371,000 | 49,906,000 |
The total is exact: 48 specific deals times 1,712,304 boards. The three counts are approximate, worked out from the percentages to five decimals and rounded to the nearest thousand.
| Hand | Equity as odds (to 1) | Wins one deal in | Loses one deal in | Pot odds needed to call (to 1) |
|---|---|---|---|---|
| AQo | 1.561 | 1.647 | 2.575 | 0.641 |
| J9s | 0.641 | 2.575 | 1.647 | 1.561 |
The last column is the break-even price: the pot odds a call needs to offer, as a ratio of pot to call.
Who is ahead on which flops
Across the five flop textures AQo's equity moves by 9.42 points, from 54.94% on low rainbow flops (nine high or lower) to 64.36% on rainbow flops topped by a ten or better. AQo stays ahead on all five textures.
| Flop | Share of flops | AQo wins | Ties | J9s wins | AQo equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.988 | 64.297 | 0.117 | 35.586 | 64.355 |
| Rainbow, nine or lower | 7.042 | 54.472 | 0.931 | 44.597 | 54.938 |
| Two-tone | 46.667 | 59.223 | 0.276 | 40.501 | 59.361 |
| Monotone | 5.212 | 57.808 | 2.373 | 39.819 | 58.994 |
| Paired | 17.091 | 63.251 | 0.616 | 36.133 | 63.559 |
A rainbow flop shows three suits, a two-tone flop repeats one suit, a monotone flop is a single suit, and a paired flop repeats a rank.
Compared with a random hand
Against one random hand instead, AQo holds 64.43% and J9s holds 55.66%. Facing each other changes that by -3.48 points for AQo and -16.61 points for J9s.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| AQo, all flops | 60.946 | 64.432 | -3.486 | 0.94590 |
| AQo, rainbow, ten or higher | 64.355 | 64.432 | -0.077 | 0.99880 |
| AQo, rainbow, nine or lower | 54.938 | 64.432 | -9.494 | 0.85265 |
| AQo, two-tone | 59.361 | 64.432 | -5.071 | 0.92130 |
| AQo, monotone | 58.994 | 64.432 | -5.438 | 0.91560 |
| AQo, paired | 63.559 | 64.432 | -0.873 | 0.98645 |
| J9s, all flops | 39.054 | 55.662 | -16.608 | 0.70163 |
| J9s, rainbow, ten or higher | 35.645 | 55.662 | -20.017 | 0.64038 |
| J9s, rainbow, nine or lower | 45.062 | 55.662 | -10.600 | 0.80956 |
| J9s, two-tone | 40.639 | 55.662 | -15.023 | 0.73010 |
| J9s, monotone | 41.006 | 55.662 | -14.656 | 0.73670 |
| J9s, paired | 36.441 | 55.662 | -19.221 | 0.65468 |
Does a shared suit matter?
The suit split reads 61.64% for AQo with a shared suit and 60.25% without one. AQo does better with a shared suit, by 1.39 points.
| Deals | Specific deals | Share of deals | AQo wins | Ties | J9s wins | AQo equity |
|---|---|---|---|---|---|---|
| Share a suit | 24 | 50.00 | 61.393 | 0.492 | 38.115 | 61.639 |
| No shared suit | 24 | 50.00 | 60.048 | 0.410 | 39.542 | 60.253 |
How often this matchup comes up
Out of 1,624,350 ways to deal two seats two cards each, 48 are AQo in one seat and J9s in the other (0.0030%); with the seats swapped too, 96 (0.0059%).
A worked example
A $100 all-in from each player makes a $200 pot, and the exact equity says AQo gets $121.90 of it on average and J9s gets $78.10.
Run 1,000 deals and the tally comes out near 607 for AQo, 388 for J9s and 5 ties.
The same matchup from the other side
The mirror image, J9s against AQo, is 39.05% to 60.95%, and its address redirects to this page.
Keep exploring
Open the calculator with AsQh against Jd9d already entered, a deal with no shared suit, and change any card to try your own hand. The matchups after it each swap one hand for a nearby one in the ranking.
How this was computed
Nothing here is simulated. The 48 deals of AQo against J9s fall into a few suit patterns, each dealt against all 1,712,304 boards, with both best five-card hands compared on every board. Ties give each hand half a win, and the flop rows count a board under each of its ten flops.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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